The convolution-induced topology onL∞(G)and linearly dependent translates inL1(G)
نویسندگان
چکیده
منابع مشابه
Locally Linearly Dependent Operators
Let T be a linear operator defined on a complex vector space X and let n be a positive integer. Kaplansky [4] proved that T is algebraic of degree at most n if and only if for every x ∈ X the vectors x, Tx, . . . , Tnx are linearly dependent. One consequence of Kaplansky’s result is that if X is a Banach space and T : X → X a bounded linear operator, then T is algebraic if and only if for every...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1982
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171282000027